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Finding the Fourth Proportional to 21,700.14, 32,555.13 and 7,849.14

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Solution

The fourth proportional to 21,700.14, 32,555.13 and 7,849.14 is: 11,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.14 : 32,555.13 = 7,849.14 : x
  2. Step 2: Convert to fraction form
    21,700.14/32,555.13 = 7,849.14/x
  3. Step 3: Cross multiply
    21,700.14x = 32,555.13 × 7,849.14
  4. Step 4: Simplify right side
    21,700.14x = 255,529,773.09
  5. Step 5: Solve for x
    x = 255,529,773.09/21,700.14
  6. Step 6: Final answer
    x = 11,775.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.